Cream the butter, shortening and sugar together. Add the pumpkin and vanilla and mix until thoroughly combined. In a separate bowl, combine the flour, cream of tartar, baking soda, baking powder, pumpkin pie spice and salt. Gradually add flour mixture to creamed mixture, stirring until well combined. Refrigerate dough for at least 30 minutes. Preheat oven to 375 degrees. Combine sugar, pumpkin pie spice and cinnamon in a small bowl. Remove dough and form into small, 1-inch balls. Roll balls in sugar mixture and place on greased cookie sheet. Bake for 8 minutes. Remove and let cool on sheet for two minutes before transferring to a cooling rack.